Persona 4 The Animation's official website announced that the anime will be made into a 90 minute film with new footage. The film will be titled, Persona 4 The Animation - The Factor of Hope. It will open in 10 theatres in Japan including theatres in Kanto, Osaka and Nagoya, on June 9th.
The film will recap everything in Persona 4 and will also include the so-called "True End Episode" which was originally unaired.
No word on an American release whether it's a one-day limited screening OR a DVD/Blu-Ray release.
Source: ANN